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The scores of A and B in an examination are in the ratio 11 : 14. After an appeal, their scores increase by the same amount and their new scores are in the ratio 47 : 56. The ratio of B’s new score to that of his original score is

A. 5 : 4
B. 8 : 5
C. 4 : 3
D. 3 : 2
E. 8 : 3

If x^2−2xy=84 and x−y=−10, What is the value of |y|?

A. 0
B. 2
C. 3
D. 4
E. 6

If x and y are nonnegative integers and 5x + 2y = 32, how many values of x are there?

A. 1
B. 2
C. 3
D. 4
E. 6

A and B invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and A's share is $ 855, the total profit is:

A. $ 1425
B. $ 1500
C. $ 1537.50
D. $ 1576
E. $ 1600

If x^y=64 and x and y are positive integers, then x + y can take how many values

A. 3
B. 4
C. 5
D. 6
E. 7

Ratio of two numbers x and y is 3:5. If x is increased by 20% and y is increased by 8 then the new ratio becomes 2:5. what is the ratio 2y:(x+6)

A. 2:5
B. 3:5
C. 4:5
D. 5:3
E. 10:3

­If |x−y|=0 , what is the value of |x|−|y|?

A. -1
B. 0
C. 1
D. 2
E. 4­

If 5−6/x=x , then x has how many possible values?

(A) None
(B) One
(C) Two
(D) A finite number greater than two
(E) An infinite number

If 4 is one solution of the equation x^2 + 3x + k = 10, where k is a constant, what is the other solution?

(A) -7
(B) -4
(C) -3
(D) 1
(E) 6

If x/y=3/2 and y/z=4/6, then x−z=

A. 0
B. 1
C. 3/2
D. 2
E. 5